RECONSTRUCTION OF MIXED-PHASE SIGNALS FROM SUM-OF-AUTOTRIPLECORRELATIONS USING LEAST-SQUARES

A least squares minimization technique for the reconstruction of a rea l, discrete-time signal from a sum-of-autotriplecorrelations (SOA) seq uence is presented. Compared with other methods, our approach has many advantages, First, the reconstruction is based on simple one-dimensio nal (1-D), instead of two-dimensional (2-D), time-domain operations. M oreover, unlike some current methods, it is possible to perform the re construction even if the z transform of the signal has roots on the un it circle, We present the derivation of the approach and simulation re sults.